Is $$ (-5,-1) $$ a solution to this system of equations? $$ \begin{array}{l} y=-1 \ 3 x+y=16 \end{array} $$ (1) yes no

Question

UpStudy AI · Accepted Answer

To determine whether $$(-5, -1)$$ is a solution to the given system of equations:

$$
\begin{cases}
y = -1 \
3x + y = 16
\end{cases}
$$

**Step 1: Check the first equation**

$$
y = -1
$$

For the point $$(-5, -1)$$, the $$y$$-value is $$-1$$, which satisfies the first equation.

**Step 2: Check the second equation**

$$
3x + y = 16
$$

Substitute $$x = -5$$ and $$y = -1$$:

$$
3(-5) + (-1) = -15 - 1 = -16
$$

$$-16$$ does not equal $$16$$, so the point $$(-5, -1)$$ does not satisfy the second equation.

**Conclusion:** The point $$(-5, -1)$$ is **not** a solution to the system of equations.

**Answer:** No
No, $$(-5, -1)$$ is not a solution to the system of equations.

Is \( (-5,-1) \) a solution to this system of equations? \[ \begin{array}{l} y=-1 \\ 3 x+y=16 \end{array} \] (1) yes no